Final answer:
The question requires using kinematic equations and graphical motion analysis to determine the initial velocity, acceleration, and displacement of a motorcycle under various scenarios. Concepts such as the slope of a velocity-time graph are crucial to solving these problems.
Step-by-step explanation:
The question pertains to analyzing motion using a velocity-time graph and calculating parameters like initial velocity, acceleration, and displacement of a motorcycle in various motion scenarios. To solve these problems, one must apply kinematic equations of motion and concepts of graphical analysis of motion.
For instance, if a motorcycle accelerates at a rate of 4.0 m/s² to a speed of 35 m/s in 5.0 seconds, and we are given that the initial speed was -34 m/s (which seems to be a typo as speeds cannot be negative in this context), we would need to correct that and calculate the initial speed using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
To calculate the acceleration over the first 10 seconds when given a displacement-time graph, we would use the formula a = Δv / Δt, where Δv is the change in velocity, and Δt is the change in time.
When analyzing the velocity-time graph of an object, if the motion graph is not a straight line, we ascertain the velocity by examining the slope of the graph at any given point, and if the object changes direction, the sign of the slope changes accordingly, indicating a change in the direction of velocity.